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Finding the Third Proportional to 213,413,174 and 494,020,739

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Solution

The third proportional to 213,413,174 and 494,020,739 is: 1,143,586,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,413,174 : 494,020,739 = 494,020,739 : x
  2. Step 2: Convert to fraction form
    213,413,174/494,020,739 = 494,020,739/x
  3. Step 3: Cross multiply
    213,413,174x = 494,020,739 × 494,020,739
  4. Step 4: Simplify right side
    213,413,174x = 244,056,490,562,106,112
  5. Step 5: Solve for x
    x = 244,056,490,562,106,112/213,413,174
  6. Step 6: Final answer
    x = 1,143,586,808.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.